If a aircraft flie at 1000m/s east it accumulates a 50C of charge as it passes a cloud. How would I calculate magnitude of magnetic force, direction of magnetic force on plane and do the pilots have to make corrections to make up for the difference?
Thanks in advance for any help
I forgot that the earth's magnetic field is 50 micro Tesla
I think the formula is F = q(v*B)
so therefore I would say F= 50 C(1000*50T), correct or not??
I'm still not sure about the direction or if they have to make correctins to their controls
You have it, correct, except for units> what happened to the micro on microTesla?
Thank you for pointing that out-I totally forgot to put it back in
Could you direct me for the direction and if corrections have to be made by pilots-I'm not sure how to figure that out
To calculate the magnitude of the magnetic force on the plane, you'll need to use the formula for the magnetic force on a moving charged particle. The formula is given by:
F = q * v * B * sin(theta),
where:
- F is the magnitude of the magnetic force,
- q is the charge of the particle (in this case, the accumulated charge on the plane),
- v is the velocity of the particle (in this case, the velocity of the plane),
- B is the magnetic field strength, and
- theta is the angle between the velocity vector and the magnetic field vector.
Since the charge accumulated on the plane is 50C and the plane is flying east at 1000 m/s, you have the values for q and v.
However, in order to determine the magnetic force, you need to know the magnetic field strength and the angle between the velocity vector of the plane and the magnetic field vector. Unfortunately, you haven't provided this information in your question. So, without the value of the magnetic field strength or the angle, it is not possible to calculate the magnitude of the magnetic force or its direction on the plane.
Regarding the need for corrections by the pilots, it depends on the specific scenario and the impact of the magnetic force on the plane's flight path. Without more information, it is not possible to provide a definitive answer.